Multiple Concept Example $9$ provides background pertinent to this problem. The magnitudes of the four displacement vectors shown in the drawing are A $=15\mathrm{.}0$ m$,$ B $=11\mathrm{.}0$ m$,$ C $=10\mathrm{.}0$ m$,$ and D $=22\mathrm{.}0$ m$.$ Determine the $($a$)$ magnitude and $($b$)$ direction for the resultant that occurs when these vectors are added together. Specify the direction as a positive $($counterclockwise$)$ angle from the $+$x axis.